6 papers · 1 filter
iSWAP maximises the second-moment spectral gap in random quantum circuits
Yanying Liang, Haoran Zhu
We prove that the gate maximises the spectral gap of the Hermitian second-moment operator on every connected graph with at least three vertices, among all two-loca…
Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap
Yanying Liang, Haoran Zhu
We prove that every ironed two-qubit gadget whose KAK-derived parameter satisfies has, on the complete graph with , the same second-moment spectral gap…
Entangled mixed-state datasets generation by quantum machine learning
Ruibin Xu, Zheng Zheng, Yanying Liang +1
The advancement of classical machine learning is inherently linked to the establishment and progression of classical dataset. In quantum machine learning (QML), there is an analogo…
Enhancing Variational Quantum Circuit Training: An Improved Neural Network Approach for Barren Plateau Mitigation
Zhehao Yi, Yanying Liang, Haozhen Situ
Combining classical optimization with parameterized quantum circuit evaluation, variational quantum algorithms (VQAs) are among the most promising algorithms in near-term quantum c…
Monogamy relations and upper bounds for the generalized -class states using Rényi- entropy
Yanying Liang, Zhu-Jun Zheng, Chuan-Jie Zhu
We investigate monogamy relations and upper bounds for generalized -class states related to the Rényi- entropy. First, we present an analytical formula on Rényi- entanglem…
Tighter monogamy and polygamy relations using Rényi- entropy
Yanying Liang, Zhu-Jun Zheng, Chuan-Jie Zhu
We investigate monogamy relations related to the Rényi- entanglement and polygamy relations related to the Rényi- entanglement of assistance. We present new entanglement mono…